Work

Specification for Group Actions on Uniform Spaces

Year: 2019

Type: standard

Abstract: We extend specification and periodic specification to finitely generated group actions on uniform spaces using a concept of specification point. We prove that certain group actions having two distinct specification points have positive entropy. We further prove that if a group containing an infinite order element acts on an infinite Hausdorff uniform space and the action possesses periodic specification, then it is Devaney chaotic.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1906.09805

Authors: Khan, Abdul Gaffar, Das, Pramod Kumar, Das, Tarun

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2949422894

Cites: 12

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Related to: 10